The ratio of the measures of the three angles in a triangle is 14:5:11. Find the measures of the angles.

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11-04-2018
Physics

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The ratio of the measures of the three angles in a triangle is 14:5:11. Find the measures of the angles.

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AL2006 AL2006 · Answer 1 · 2018-04-11T20:56:20+02:00

Angle 1 . . . . . 14 parts
Angle 2 . . . . . 5 parts
Angle 3 . . . . . 11 parts

Total . . . . . . . . 30 parts

But the total of the angles in ANY triangle is always 180 degrees.

SO ... 180 degrees / 30 parts = 6 degrees per part.

Angle 1 . . . . . 14 parts x (6° / part) = 84°
Angle 2 . . . . . . 5 parts x (6° / part) = 30°
Angle 3 . . . . . 11 parts x (6° / part) = 66°

Check: Total . . . . . . . . . . . . . . . . . . 180° yay !